91Ó°ÊÓ

• The given system is $\left\{\begin{array}{l}x+3y=-9\\ 2x-4y=12\end{array}\right.$.
• The coordinate to check is$(-3,-2)$

• Substitute $(-3,-2)$into the first equation and check if it satisfies the equation.

role="math" localid="1648180296430" $$\begin{gathered} -3+3(-2)\stackrel{?}{=}-9 \\ -3-6=-9 \end{gathered}$$

• Substitute the same point into the second equation and check if it satisfies the second equation.

$$\begin{gathered} 2(-3)-4(-2)\stackrel{?}{=}12 \\ -6+12\stackrel{?}{=}12 \\ 6≠12 \end{gathered}$$

• As the second equation is not satisfied,$(-3,-2)$is not a solution of the system.

• The given system is $\left\{\begin{array}{l}x+3y=-9\\ 2x-4y=12\end{array}\right.$.
• The point to check is$(0,-3)$.

• Substitute $(0,-3)$into the first equation and check if it satisfies the equation.

$$\begin{gathered} \left(0\right)+3(-3)\stackrel{?}{=}-9 \\ -9=-9 \end{gathered}$$

• Substitute the same point into the second equation and check if it satisfies the second equation.

$$\begin{gathered} 2\left(0\right)-4(-3)\stackrel{?}{=}12 \\ 12=12 \end{gathered}$$

• As both the equations are satisfies, the point$(0,-3)$ is a solution to the system.